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TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL
Markov chains eigenvalues Gelfand pairs Hahn polynomials
2015/7/14
TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL.
Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity
Traveling Wave Solutions Reaction-Diffusion Model Criminal Activity
2015/7/14
We study a reaction-diffusion system of partial differential equations, which can be taken to be a basic model for criminal activity, first introduced in [3]. We show that the assumption of a populati...
Some Exact Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model
Exact Self-Similar Density-Dependent Reaction-Diffusion Model Biological Physics
2012/4/20
In this paper, we investigated a density-dependent reaction-diffusion equation, $u_t = (u^{m})_{xx} + u - u^{m}$. This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscoun...
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Diffusions Doob transform killing, branching quasi-stationarity Wright-Fisher model neutral or with mutation selection
2011/10/8
Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
2010/12/28
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Asymptotic bifurcation analysis wave-pinning reaction-diffusion model
2011/1/5
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Large deviations of the empirical currents for a boundary driven reaction diffusion model
Large deviations Interacting particle system
2010/11/29
We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanis...
Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model
Finite Gelfand pair Ehrenfest diffusion model complex reflection group
2010/12/1
A classical diffusion model of Ehrenfest which consists of 2-urns and n-balls is realized by a finite Gelfand pair (Hn, Sn), where Hn is the hyperoctahedral group and Sn is the symmetric group. This f...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusionmodel forward PIDE asymp-totic expansion
2010/4/27
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Predictability of extreme events in a branching diffusion model
extreme events branching diffusion model
2010/4/6
We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in ...
Nonlinear diffusion model for Rayleigh-Taylor mixing
Nonlinear diffusion Rayleigh-Taylor mixing temperature profile numerical simulations
2010/4/1
The complex evolution of turbulent mixing in Rayleigh-Taylor convection is studied in terms of eddy diffusiviy models for the mean temperature profile. It is found that a non-linear model, derived wit...
Diffusion model of interacting gravity waves on the surface of deep fluid
Diffusion model interacting gravity waves surface of deep fluid
2009/11/13
A simple phenomenological model for nonlinear interactions of gravity waves on the surface of deep water is developed. The Snl nonlinear interaction term in the kinetic equation for wave action is rep...
Second generation diffusion model of interacting gravity waves on the surface of deep fluid
Second generation diffusion model interacting gravity waves surface of deep fluid
2009/11/11
We propose a second generation phenomenological model for nonlinear interaction of gravity waves on the surface of deep water. This model takes into account the effects of non-locality of the original...
The Mediterranean Outflow—A Simple Advection-Diffusion Model
Mediterranean Outflow Advection-Diffusion Model
2009/3/24
The influence of the subtropical gyre on the spread of Mediterranean Water in the Atlantic is discussed in terms of a simple horizontal advection-diffusion model. The northern, southern and western bo...